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© 2016

Index-aware Model Order Reduction Methods

Applications to Differential-Algebraic Equations

Book

Part of the Atlantis Studies in Scientific Computing in Electromagnetics book series (ASSCE, volume 2)

Table of contents

  1. Front Matter
    Pages i-ix
  2. N. Banagaaya, G. Alì, W. H. A. Schilders
    Pages 1-8
  3. N. Banagaaya, G. Alì, W. H. A. Schilders
    Pages 9-19
  4. N. Banagaaya, G. Alì, W. H. A. Schilders
    Pages 21-59
  5. N. Banagaaya, G. Alì, W. H. A. Schilders
    Pages 61-70
  6. N. Banagaaya, G. Alì, W. H. A. Schilders
    Pages 71-82
  7. N. Banagaaya, G. Alì, W. H. A. Schilders
    Pages 83-83
  8. Back Matter
    Pages 85-86

About this book

Introduction

The main aim of this book is to discuss model order reduction (MOR) methods for differential-algebraic equations (DAEs) with linear coefficients that make use of splitting techniques before applying model order reduction. The splitting produces a system of ordinary differential equations (ODE) and a system of algebraic equations, which are then reduced separately. For the reduction of the ODE system, conventional MOR methods can be used, whereas for the reduction of the algebraic systems new methods are discussed.  The discussion focuses on the index-aware model order reduction method (IMOR) and its variations, methods for which the so-called index of the original model is automatically preserved after reduction.

Keywords

Differential-Algebraic Equations Model Order Reduction Splitting MOR Methods MOR for Algebraic Systems IMOR

Authors and affiliations

  1. 1.Computational Methods in Sys & ControlMPI for Dynamics of Complex Tech., SysMagdeburgGermany
  2. 2.Department of PhysicsUniversity of CalabriaArcavacata di RendeItaly
  3. 3.Department of Mathematics and Comp., SciEindhoven University of TechnologyEindhovenThe Netherlands

Bibliographic information

  • Book Title Index-aware Model Order Reduction Methods
  • Book Subtitle Applications to Differential-Algebraic Equations
  • Authors N. Banagaaya
    Giuseppe Alì
    Wil H.A. Schilders
  • Series Title Atlantis Studies in Scientific Computing in Electromagnetics
  • Series Abbreviated Title Atlantis Studies in Scientific Computing in Electromagnetics
  • DOI https://doi.org/10.2991/978-94-6239-189-5
  • Copyright Information Atlantis Press and the author(s) 2016
  • Publisher Name Atlantis Press, Paris
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-94-6239-188-8
  • eBook ISBN 978-94-6239-189-5
  • Series ISSN 2352-0590
  • Series E-ISSN 2352-0604
  • Edition Number 1
  • Number of Pages IX, 86
  • Number of Illustrations 19 b/w illustrations, 6 illustrations in colour
  • Topics Computational Mathematics and Numerical Analysis
    Electrical Engineering
    Mathematics of Computing
  • Buy this book on publisher's site